Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.
The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16
So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.
To check your answer, plug in the values:
16+22+88=126
126=126
Hope this helps.
Answer:
y > -1/6 x+1
Step-by-step explanation:
The graph line is dotted. Dotted lines means greater than or less than. ( <, >)
Solid lines means less than or equal to or greater than or equal to (≤,≥)
Since the graph is shaded above the line, that means y is greater than the line. If it were shaded below the line, y would be less than.
y > -1/6 x+1
Answer: 6,8 and 10
Step-by-step explanation:
To find the length , all we need to find is the distance between each point ,
the formula for calculating distance between two points is given by :
D = 
Let the points be :
A ( -5,-1)
B(-5,5)
C(3,-1)
Calculating the length AB , we have
D1 = 
D1 = 
D1 = 
D1= 6
Calculating the length AC , we have
D2 = 
D2 = 
D2 = 
D2 = 8
Calculating the length BC , we have
D3 = 
D3 = 
D3 = 
D3 = 10
Therefore ,the length of the sides of the triangle are 6,8 and 10
Answer: A cone with height 3 and radius 1
Step-by-step explanation:
Hi, searching I found the image for the question, attached down below.
By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.
Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.
in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the remaining vertex follows the path of a circle, creating a cone.